首页> 外文期刊>International Journal of Innovative Computing Information and Control >A SWITCHING CONTROLLER DESIGN VIA SUM-OF-SQUARES APPROACH FOR A CLASS OF POLYNOMIAL T-S FUZZY MODEL
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A SWITCHING CONTROLLER DESIGN VIA SUM-OF-SQUARES APPROACH FOR A CLASS OF POLYNOMIAL T-S FUZZY MODEL

机译:一类多项式TS模糊模型的平方和法开关控制器设计

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摘要

This paper presents a switch methodology together with a sum of squares (SOS) techniques to synthesize a nonlinear controller for a polynomial Takagi-Sugeno (T-S) fuzzy model. A polynomial T-S fuzzy model adopts a polynomial representation of the nonlinear dynamics in its consequent part, which make it less susceptible to linearization errors. With respect to polynomial T-S fuzzy models, a fuzzy switching control mechanism instead of fuzzy blending mechanism is developed to provide stability and performance. The switching control mechanism is synthesized by using the SOS technique which is capable of rendering an estimate of the region of convergence and, accordingly, leading to the partitioning of the fuzzy model. Computer simulations for two representative nonlinear systems are provided to demonstrate the effectiveness and robustness of the proposed nonlinear fuzzy control.
机译:本文提出了一种切换方法,并结合了平方和(SOS)技术来为多项式Takagi-Sugeno(T-S)模糊模型合成非线性控制器。多项式T-S模糊模型在其后续部分采用了非线性动力学的多项式表示,这使其不易受到线性化误差的影响。针对多项式TS模糊模型,提出了一种模糊切换控制机制,而不是模糊混合机制,以提供稳定性和性能。开关控制机制是通过使用SOS技术进行综合的,该技术能够对收敛区域进行估计,从而导致模糊模型的划分。提供了两个代表性非线性系统的计算机仿真,以证明所提出的非线性模糊控制的有效性和鲁棒性。

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